The function is undefined at

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The function

g(x)=\dfrac{x^{2}-9}{x-3}

is undefined at

x=3

. Describe why

\displaystyle \lim_{x\to 3} g(x)

exists even though

g(3)

is not defined, and state the value of the limit.